5006144 has 56 divisors (see below), whose sum is σ = 11692128. Its totient is φ = 2096640.

The previous prime is 5006129. The next prime is 5006147. The reversal of 5006144 is 4416005.

It is a happy number.

It is a super-2 number, since 2×5006144² = 50122955497472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8879 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (208788).

Almost surely, 2^5006144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846064).

5006144 is an abundant number, since it is smaller than the sum of its proper divisors (6685984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5006144 is a wasteful number, since it uses less digits than its factorization.

5006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5006144 is about 2237.4413958806. The cubic root of 5006144 is about 171.0676066134.

It can be divided in two parts, 50061 and 44, that added together give a palindrome (50105).

The spelling of 5006144 in words is "five million, six thousand, one hundred forty-four".